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Finding the Fourth Proportional to 15,937.16, 21,994 and 9,223.10

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Solution

The fourth proportional to 15,937.16, 21,994 and 9,223.10 is: 12,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937.16 : 21,994 = 9,223.10 : x
  2. Step 2: Convert to fraction form
    15,937.16/21,994 = 9,223.10/x
  3. Step 3: Cross multiply
    15,937.16x = 21,994 × 9,223.10
  4. Step 4: Simplify right side
    15,937.16x = 202,852,861.40
  5. Step 5: Solve for x
    x = 202,852,861.40/15,937.16
  6. Step 6: Final answer
    x = 12,728.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.